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Finding the Fourth Proportional to 7,845.75, 10,803.44 and 6,781.61

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Solution

The fourth proportional to 7,845.75, 10,803.44 and 6,781.61 is: 9,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.75 : 10,803.44 = 6,781.61 : x
  2. Step 2: Convert to fraction form
    7,845.75/10,803.44 = 6,781.61/x
  3. Step 3: Cross multiply
    7,845.75x = 10,803.44 × 6,781.61
  4. Step 4: Simplify right side
    7,845.75x = 73,264,716.74
  5. Step 5: Solve for x
    x = 73,264,716.74/7,845.75
  6. Step 6: Final answer
    x = 9,338.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.